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Finding the Fourth Proportional to 2,890.35, 3,988.25 and 1,694.88

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Solution

The fourth proportional to 2,890.35, 3,988.25 and 1,694.88 is: 2,338.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.35 : 3,988.25 = 1,694.88 : x
  2. Step 2: Convert to fraction form
    2,890.35/3,988.25 = 1,694.88/x
  3. Step 3: Cross multiply
    2,890.35x = 3,988.25 × 1,694.88
  4. Step 4: Simplify right side
    2,890.35x = 6,759,607.81
  5. Step 5: Solve for x
    x = 6,759,607.81/2,890.35
  6. Step 6: Final answer
    x = 2,338.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.